کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
825633 1470053 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Transfer matrix solutions for three-dimensional consolidation of a multi-layered soil with compressible constituents
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Transfer matrix solutions for three-dimensional consolidation of a multi-layered soil with compressible constituents
چکیده انگلیسی

In this paper, transfer matrix solutions for three-dimensional consolidation of a multi-layered soil considering the compressibility of pore fluid are presented. The derivation of the solutions starts with the fundamental differential equations of Biot’s three-dimensional consolidation theory, takes into account the compressibility of pore fluid in the Cartesian coordinate system, and introduces the extended displacement functions. The relationship of displacements, stresses, excess pore water pressure, and flux between the ground surface (z = 0) and an arbitrary depth z is established for Biot’s three-dimensional consolidation problem of a finite soil layer with compressible pore fluid by taking the Laplace transform with respect to t and the double Fourier transform with respect to x and y, respectively. Based on this relationship of the transfer matrix, the continuity between layers, and the boundary conditions, the solutions for Biot’s three-dimensional consolidation problem of a multi-layered soil with compressible constituents in a Laplace–Fourier transform domain is obtained. The final solutions in the physical domain are obtained by inverting the Laplace–Fourier transforms. Numerical analysis is carried out by using a corresponding program based on the solutions developed in this study. This analysis demonstrates that the compressibility of pore fluid has a remarkable effect on the process of consolidation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Engineering Science - Volume 46, Issue 11, November 2008, Pages 1111–1119
نویسندگان
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